Numerical solution of nonlinear mixed Volterra-Fredholm integro-differential equations by two-dimensional block-pulse functions

被引：6

作者：

Safavi, M. ^{[1
]}

Khajehnasiri, A. A. ^{[2
]}

机构：

[1] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran

[2] Islamic Azad Univ, Dept Math, North Tehran Branch, Tehran, Iran

来源：

COGENT MATHEMATICS & STATISTICS | 2018年 / 5卷 / 01期

关键词：

two-dimensional Volterra-Fredholm integral equations; operational matrix; nonlinear equations; two-dimensional block-pulse functions;

D O I：

10.1080/25742558.2018.1521084

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper proposed an effective numerical method to obtain the solution of nonlinear two-dimensional mixed Volterra-Fredholm integro-differential equations. For this purpose, the two-dimensional block-pulse functions (2D-BPFs) operational matrix of integration and differentiation has been presented. The 2D-BPFs method converts nonlinear two-dimensional mixed Volterra-Fredholm integro-differential equations to an algebraic system of equations which is computable as well. Error analysis and some numerical examples are presented to illustrate the effectiveness and accuracy of the method.

引用

页数：12

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